Question

Solve this equation using an algebraic method: (x + 4)( x - 4) = 9

Answer 1

buy solution of your question

x^2-16=9

x^2=25

x=5

I hope you get it

Answer 2

Answer:

The solution of the equation is x=5,-5.

Step-by-step explanation:

Given : Equation $(x+4)(x-4)=9$

To find : Solve the equation using an algebraic method?

Solution :

Step 1 - Write the equation

$(x+4)(x-4)=9$

Step 2 - Applying identity in LHS, $(a+b)(a-b)=a^2-b^2$

$x^2-4^2=9$

Step 3 - Solve,

$x^2-16=9$

$x^2=9+16$

$x^2=25$

$x=\pm5$

Therefore, The solution of the equation is x=5,-5.